Atkin-Lehner |
3+ 5- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
73935c |
Isogeny class |
Conductor |
73935 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
213154605 = 33 · 5 · 313 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -1 3 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-242,-1204] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] |
Generators of the group modulo torsion |
j |
57825915363/7894615 |
j-invariant |
L |
4.5595358689241 |
L(r)(E,1)/r! |
Ω |
1.2217948866584 |
Real period |
R |
1.8659170695288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999258 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73935a1 |
Quadratic twists by: -3 |